Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 692, 536, 23, 862 i.e. 1 largest integer that divides all the numbers equally.
GCD of 692, 536, 23, 862 is 1
GCD(692, 536, 23, 862) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 692, 536, 23, 862 is 1
GCD(692, 536, 23, 862) = 1
Given Input numbers are 692, 536, 23, 862
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 692
List of positive integer divisors of 692 that divides 692 without a remainder.
1, 2, 4, 173, 346, 692
Divisors of 536
List of positive integer divisors of 536 that divides 536 without a remainder.
1, 2, 4, 8, 67, 134, 268, 536
Divisors of 23
List of positive integer divisors of 23 that divides 23 without a remainder.
1, 23
Divisors of 862
List of positive integer divisors of 862 that divides 862 without a remainder.
1, 2, 431, 862
Greatest Common Divisior
We found the divisors of 692, 536, 23, 862 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 692, 536, 23, 862 is 1.
Therefore, GCD of numbers 692, 536, 23, 862 is 1
Given Input Data is 692, 536, 23, 862
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 692 is 2 x 2 x 173
Prime Factorization of 536 is 2 x 2 x 2 x 67
Prime Factorization of 23 is 23
Prime Factorization of 862 is 2 x 431
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(692, 536) = 92728
GCD(692, 536) = ( 692 x 536 ) / 92728
GCD(692, 536) = 370912 / 92728
GCD(692, 536) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 23
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 23) = 92
GCD(4, 23) = ( 4 x 23 ) / 92
GCD(4, 23) = 92 / 92
GCD(4, 23) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 862
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 862) = 862
GCD(1, 862) = ( 1 x 862 ) / 862
GCD(1, 862) = 862 / 862
GCD(1, 862) = 1
GCD of 692, 536, 23, 862 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 692, 536, 23, 862?
GCD of 692, 536, 23, 862 is 1
2. Where do I get the detailed procedure to find GCD of 692, 536, 23, 862?
You can find a detailed procedure to find GCD of 692, 536, 23, 862 on our page.
3. How to find GCD of 692, 536, 23, 862 on a calculator?
You can find the GCD of 692, 536, 23, 862 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.